Why are absolute values is important?

Answer 1

Because it is a convenient way to make sure that a quantity is nonnegative; for example, you can define the distance between two real numbers #a# and #b# as #|a - b|#.

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Answer 2

Eva Adamson

Absolute values are important because they provide a way to express the magnitude or distance of a number from zero, without regard to its sign. This is crucial in various mathematical contexts, including solving equations involving inequalities, calculating distances in geometry, and determining error margins in statistics and science. Additionally, absolute values help simplify expressions and make certain mathematical operations more manageable.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.